Hankel-Norm Approach to Robust FIR Estimation of Dynamic Systems under External Disturbances

Choon Ki Ahn; Yuriy S. Shmaliy; Shunyi Zhao

doi:10.1109/TMECH.2018.2852955

Hankel-Norm Approach to Robust FIR Estimation of Dynamic Systems under External Disturbances

Choon Ki Ahn, Yuriy S. Shmaliy, Shunyi Zhao

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We propose and develop a new Hankel-norm approach to the robust receding horizon (RH) finite impulse response (FIR) filter design in discrete-time state space under intensive external disturbances. A new condition is developed for the RH Hankel-norm FIR filter (HNFF) design based on the linear matrix inequality and an equality constraint. The proposed RH HNFF ensures unwanted memory reduction and reduces the effect of memory on errors caused by past disturbances. Another condition is also examined to avoid using the equality constraint. The approach is tested and compared with existing filters based on a numerical example to verify its high robustness against unpredictable model changes for an F-404 turbofan engine system model. An experimental study on the one-degree-of-freedom torsion system is also provided to demonstrate its validity.

Original language	English
Article number	8403279
Pages (from-to)	1973-1980
Number of pages	8
Journal	IEEE/ASME Transactions on Mechatronics
Volume	23
Issue number	4
DOIs	https://doi.org/10.1109/TMECH.2018.2852955
Publication status	Published - 2018 Aug

Keywords

Deadbeat property
filtering
finite impulse response
hankel norm
receding horizon
robustness

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Access to Document

10.1109/TMECH.2018.2852955

Cite this

@article{76ea095a6c5f4971975350e089325d8b,

title = "Hankel-Norm Approach to Robust FIR Estimation of Dynamic Systems under External Disturbances",

abstract = "We propose and develop a new Hankel-norm approach to the robust receding horizon (RH) finite impulse response (FIR) filter design in discrete-time state space under intensive external disturbances. A new condition is developed for the RH Hankel-norm FIR filter (HNFF) design based on the linear matrix inequality and an equality constraint. The proposed RH HNFF ensures unwanted memory reduction and reduces the effect of memory on errors caused by past disturbances. Another condition is also examined to avoid using the equality constraint. The approach is tested and compared with existing filters based on a numerical example to verify its high robustness against unpredictable model changes for an F-404 turbofan engine system model. An experimental study on the one-degree-of-freedom torsion system is also provided to demonstrate its validity.",

keywords = "Deadbeat property, filtering, finite impulse response, hankel norm, receding horizon, robustness",

author = "Ahn, {Choon Ki} and Shmaliy, {Yuriy S.} and Shunyi Zhao",

note = "Funding Information: Manuscript received February 20, 2017; revised September 17, 2017 and January 11, 2018; accepted June 25, 2018. Date of publication July 4, 2018; date of current version August 14, 2018. Recommended by Technical Editor M. O. Efe. This work was supported in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325 and in part by the 111 Project (B12018). (Corresponding authors: Choon Ki Ahn and Shunyi Zhao.) C. K. Ahn is with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail: hironaka@korea.ac.kr). Publisher Copyright: {\textcopyright} 1996-2012 IEEE.",

year = "2018",

month = aug,

doi = "10.1109/TMECH.2018.2852955",

language = "English",

volume = "23",

pages = "1973--1980",

journal = "IEEE/ASME Transactions on Mechatronics",

issn = "1083-4435",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "4",

}

TY - JOUR

T1 - Hankel-Norm Approach to Robust FIR Estimation of Dynamic Systems under External Disturbances

AU - Ahn, Choon Ki

AU - Shmaliy, Yuriy S.

AU - Zhao, Shunyi

N1 - Funding Information: Manuscript received February 20, 2017; revised September 17, 2017 and January 11, 2018; accepted June 25, 2018. Date of publication July 4, 2018; date of current version August 14, 2018. Recommended by Technical Editor M. O. Efe. This work was supported in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325 and in part by the 111 Project (B12018). (Corresponding authors: Choon Ki Ahn and Shunyi Zhao.) C. K. Ahn is with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail: hironaka@korea.ac.kr). Publisher Copyright: © 1996-2012 IEEE.

PY - 2018/8

Y1 - 2018/8

N2 - We propose and develop a new Hankel-norm approach to the robust receding horizon (RH) finite impulse response (FIR) filter design in discrete-time state space under intensive external disturbances. A new condition is developed for the RH Hankel-norm FIR filter (HNFF) design based on the linear matrix inequality and an equality constraint. The proposed RH HNFF ensures unwanted memory reduction and reduces the effect of memory on errors caused by past disturbances. Another condition is also examined to avoid using the equality constraint. The approach is tested and compared with existing filters based on a numerical example to verify its high robustness against unpredictable model changes for an F-404 turbofan engine system model. An experimental study on the one-degree-of-freedom torsion system is also provided to demonstrate its validity.

AB - We propose and develop a new Hankel-norm approach to the robust receding horizon (RH) finite impulse response (FIR) filter design in discrete-time state space under intensive external disturbances. A new condition is developed for the RH Hankel-norm FIR filter (HNFF) design based on the linear matrix inequality and an equality constraint. The proposed RH HNFF ensures unwanted memory reduction and reduces the effect of memory on errors caused by past disturbances. Another condition is also examined to avoid using the equality constraint. The approach is tested and compared with existing filters based on a numerical example to verify its high robustness against unpredictable model changes for an F-404 turbofan engine system model. An experimental study on the one-degree-of-freedom torsion system is also provided to demonstrate its validity.

KW - Deadbeat property

KW - filtering

KW - finite impulse response

KW - hankel norm

KW - receding horizon

KW - robustness

UR - http://www.scopus.com/inward/record.url?scp=85049470806&partnerID=8YFLogxK

U2 - 10.1109/TMECH.2018.2852955

DO - 10.1109/TMECH.2018.2852955

M3 - Article

AN - SCOPUS:85049470806

SN - 1083-4435

VL - 23

SP - 1973

EP - 1980

JO - IEEE/ASME Transactions on Mechatronics

JF - IEEE/ASME Transactions on Mechatronics

IS - 4

M1 - 8403279

ER -

Hankel-Norm Approach to Robust FIR Estimation of Dynamic Systems under External Disturbances

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this